Abstract
We study two problems related to planar motion planning for robots with imperfect control, where, if the robot starts a linear movement in a certain commanded direction, we only know that its actual movement will be confined in a cone of angle α centered around the specified direction.
This research was supported by the Netherlands' Organization for Scientific Research (NWO) and partially by ESPRIT Basic Research Actions No. 6546 (project PROMotion) and No. 7141 (project ALCOM II: Algorithms and Complexity). Part of the research was done during the Second Utrecht Workshop on Computational Geometry and its Application, supported by NWO. L.G. acknowledges support by NSF grant CCR-9215219, by a grant from the Stanford SIMA Consortium, and by grants from the Digital Equipment, Mitsubishi, and Toshiba Corporations. D.H. was supported by a Rothschild Postdoctoral Fellowship, by a grant from the Stanford Integrated Manufacturing Association (SIMA), and by NSF/ARPA Research Grant IRI-9306544. Work on this paper by M.S. has been supported by National Science Foundation Grant CCR-91-22103, and by grants from the U.S.-Israeli Binational Science Foundation, the Fund for Basic Research administered by the Israeli Academy of Sciences, and the G.I.F., the German-Israeli Foundation for Scientific Research and Development.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
B. Bhattacharya, D. G. Kirkpatrick, and G. T. Toussaint. Determining sector visibility of a polygon. In Proc. 5th Annu. ACM Sympos. Comput. Geom., pages 247–254, 1989.
A. J. Briggs. An efficient algorithm for one-step planar compliant motion planning with uncertainty. In Proc. 5th Annu. ACM Sympos. Comput. Geom., pages 187–196, 1989.
B. R. Donald. The complexity of planar compliant motion planning under uncertainty. Algorithmica, 5:353–382, 1990.
H. Edelsbrunner, L. J. Guibas, and M. Sharir. The complexity and construction of many faces in arrangements of lines and of segments. Discrete Comput. Geom., 5:161–196, 1990.
M. Erdmann. On motion planning with uncertainty. Technical Report 810, AI Laboratory, MIT, 1984.
J. Friedman, J. Hershberger, and J. Snoeyink. Compliant motion in a simple polygon. In Proc. 5th Annu. ACM Sympos. Comput. Geom., pages 175–186, 1989.
J. Friedman, J. Hershberger, and J. Snoeyink. Input-sensitive compliant motion in the plane. In Proc. 2nd Scand. Workshop Algorithm Theory, volume 447 of Lecture Notes in Computer Science, pages 225–237. Springer-Verlag, 1990.
P. Heckbert and J. Winget. Finite-element methods for global illumination. To appear.
K. Kedem, R. Livne, J. Pach, and M. Sharir. On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles. Discrete Comput. Geom., 1:59–71, 1986.
J.-C. Latombe. Robot Motion Planning. Kluwer Academic Publishers, Boston, 1991.
A. Lazanas and J.-C. Latombe. Landmark-based robot navigation. Submitted to Algorithmica.
T. Lozano-Pérez, M. T. Mason, and R. H. Taylor. Automatic synthesis of finemotion strategies for robots. Internat. J. Robotics Research, 3:3–24, 1984.
J. Matousek, N. Miller, J. Pach, M. Sharir, S. Sifrony, and E. Welzl. Fat triangles determine linearly many holes. In Proc. 32nd Annu. IEEE Sympos. Found. Comput. Sci., pages 49–58, 1991.
M. van Kreveld. On fat partitioning, fat covering, and the union size of polygons. In Proc. 3rd Workshop Algorithms Data Struct., Lecture Notes in Computer Science, 1993.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
de Berg, M. et al. (1993). Reaching a goal with directional uncertainty. In: Ng, K.W., Raghavan, P., Balasubramanian, N.V., Chin, F.Y.L. (eds) Algorithms and Computation. ISAAC 1993. Lecture Notes in Computer Science, vol 762. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57568-5_229
Download citation
DOI: https://doi.org/10.1007/3-540-57568-5_229
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57568-9
Online ISBN: 978-3-540-48233-8
eBook Packages: Springer Book Archive